Quadric Shapes

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Description and Tags

Memorizing important quadric shapes.

Calculus

Limits and Continuity

Calculus 3

Quadric Shapes

COLLEGE

Last updated 3:05 AM on 9/20/26
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7 Terms

1
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z = Ax² + Bx²

Elliptic Paraboloid (bowl)

<p>Elliptic Paraboloid (bowl) </p>
2
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z = Ax² - By²

Hyperbolic Paraboloid (saddle)

<p>Hyperbolic Paraboloid (saddle)</p>
3
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x²/A² + y²/B² + z²/C² = 1

Ellipsoid (stretched sphere)

<p>Ellipsoid (stretched sphere)</p>
4
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z² = Ax² + By²

Double Cone

<p>Double Cone</p>
5
New cards

x²/A² + y²/B² - z²/C² = 1

Hyperboloid of One Sheet

<p>Hyperboloid of One Sheet</p>
6
New cards

-x²/A² - y²/B² + z²/C² = 1

Hyperboloid of Two Sheets

<p>Hyperboloid of Two Sheets</p>
7
New cards

Ax² + Bx² +Cz² = 1

Sphere

<p>Sphere</p>